And as Jesus passed forth from thence, he saw a man, named Matthew, sitting at the receipt of custom: and he saith unto him, Follow me. And he arose, and followed him. (KJV, Matthew 9:9)
The name Matthew is a Hebrew name, and is written in Hebrew as מתתיה (matityah). This name is the Hebrew noun מתת (matat, Strong's #4991) meaning "gift" or "reward," and the name יה (Yah, Strong's #3050). Combined, this name means "gift of Yah" or "reward of Yah."